Answer:
Step-by-step explanation:
Given 
a)
we know that 
therefore 
on integrating we get
c=(1/6640)
b)
on doing the integration we get
=0.37349
c)
marginal density of X is
on doing integration we get
f(x)=(4x+3)/3320 ; 0<x<40
marginal density of Y is
on doing integration we get
d)
solve the above integration we get the answer
e)
solve the above integration we get the answer
f)
Two variables are said to be independent if there jointprobability density function is equal to the product of theirmarginal density functions.
we know f(x,y)
In the (c) bit we got f(x) and f(y)
f(x,y)cramster-equation-2006112927536330036287f(x).f(y)
therefore X and Y are not independent
Answer: There is probability of approximately 12% that Komets losing their race and the Galaxy winning their game.
Explanation:
Since we have given that
Probability of the Galaxy team wins = 22%
Probability of the Komets team wins = 47%
So, Probability of the Komets losing their race is given by

We need to find the probability of the Komets losing their and the Galaxy winning their game .
Let Event K : Komets losing their game
Event G : Galaxy winning their game
Since these are two independent events,
So,

So, there is probability of 12% that Komets losing their race and the Galaxy winning their game.
Answer:
Step-by-step explanation:
18 is the height of it and then you divide 690
Answer:
RIGHT Angle Addition Postulate.
Step-by-step explanation:
Applying the RIGHT Angle Addition Postulate gives m∠AEB + m∠BEC = m∠AEC. Applying the substitution property gives 45° + m∠BEC = 90°. The subtraction property can be used to find m∠BEC = 45°, so ∠BEC ≅ ∠AEB because they have the same measure. Since Ray E B divides ∠AEC into two congruent angles, it is the angle bisector.
Answer : C
we need to the value of f(–1)
Table is given in the question
From the table ,
f(x) = 4 when x= -5, that is f(-5) = 4
f(x) = 0 when x= -1, that is f(-1) =0
f(x)= -1 when x=6, that is f(6) = -1
f(x)= -3 when x=9, that is f(9) = -3
So, the value of f(–1) = 0